Circle segment

A quarter circle with radius 4 has the same content as a circle segment with radius 3. What is the magnitude of the center angle of the circle segment?

Correct answer:

α =  160 °

Step-by-step explanation:

r=4 S1=4π r2=43.1416 4212.5664  R=3 S2=πR2 360α S1=S2  α=π R2360 S1=3.1416 32360 12.5664=160=160   Verifying Solution:   S3=π R2 360α=3.1416 32 36016012.5664

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